IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v67y2019i3d10.1007_s00199-018-1127-7.html
   My bibliography  Save this article

Synchronized matching with incomplete information

Author

Listed:
  • Terence R. Johnson

    (Department of Economics, University of Notre Dame)

Abstract

This paper considers two-sided matching in continuous time without transferable utility or costly effort signaling. Two continua of impatient agents signal their types by delaying before proposing or accepting a match. I use a mechanism design approach to study what matchings and schedules of match times are implementable when there is private information on one or both sides. When only one side has private information, a sufficient condition to implement assortative matching is for the uninformed side to value the log gain in partner quality from waiting more than the informed side, so that it pays to wait. When information is incomplete on both sides, the sufficient conditions to implement assortative matching are much more restrictive: even when coarse matching is considered, a simple sufficient condition is provided under which only simple random matching is implementable.

Suggested Citation

  • Terence R. Johnson, 2019. "Synchronized matching with incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 589-616, April.
  • Handle: RePEc:spr:joecth:v:67:y:2019:i:3:d:10.1007_s00199-018-1127-7
    DOI: 10.1007/s00199-018-1127-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00199-018-1127-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00199-018-1127-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Johnson, T.R., 2013. "Matching through position auctions," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1700-1713.
    2. John K.‐H. Quah & Bruno Strulovici, 2012. "Aggregating the Single Crossing Property," Econometrica, Econometric Society, vol. 80(5), pages 2333-2348, September.
    3. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    4. Heidrun C. Hoppe & Benny Moldovanu & Aner Sela, 2009. "The Theory of Assortative Matching Based on Costly Signals," Review of Economic Studies, Oxford University Press, vol. 76(1), pages 253-281.
    5. Terence Johnson, 2009. "Matching Through Position Auctions," Working Papers 001, University of Notre Dame, Department of Economics, revised Jan 2011.
    6. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," NBER Working Papers 14840, National Bureau of Economic Research, Inc.
    7. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    8. Ettore Damiano & Hao Li, 2007. "Price discrimination and efficient matching," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(2), pages 243-263, February.
    9. Becker, Gary S, 1974. "A Theory of Marriage: Part II," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages 11-26, Part II, .
    10. Qingmin Liu & George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2014. "Stable Matching With Incomplete Information," Econometrica, Econometric Society, vol. 82(2), pages 541-587, March.
    11. Gary S. Becker, 1974. "A Theory of Marriage," NBER Chapters, in: Economics of the Family: Marriage, Children, and Human Capital, pages 299-351, National Bureau of Economic Research, Inc.
    12. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rabah Amir, 2019. "Supermodularity and Complementarity in Economic Theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 487-496, April.
    2. Liu, Jia-Cai & Sheu, Jiuh-Biing & Li, Deng-Feng & Dai, Yong-Wu, 2021. "Collaborative profit allocation schemes for logistics enterprise coalitions with incomplete information," Omega, Elsevier, vol. 101(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gomes, Renato & Pavan, Alessandro, 2016. "Many-to-many matching and price discrimination," Theoretical Economics, Econometric Society, vol. 11(3), September.
    2. Dizdar, Deniz & Moldovanu, Benny, 2016. "On the importance of uniform sharing rules for efficient matching," Journal of Economic Theory, Elsevier, vol. 165(C), pages 106-123.
    3. Mazali, Rogério & Rodrigues-Neto, José A., 2013. "Dress to impress: Brands as status symbols," Games and Economic Behavior, Elsevier, vol. 82(C), pages 103-131.
    4. Francesconi, Marco & Belot, Michèle, 2007. "Can anyone be ‘the’ one? Field evidence on dating behavior," ISER Working Paper Series 2007-17, Institute for Social and Economic Research.
    5. Terence Johnson, 2009. "Matching Through Position Auctions," Working Papers 001, University of Notre Dame, Department of Economics, revised Jan 2011.
    6. Ashwin Kambhampati & Carlos Segura-Rodriguez, 2020. "The Optimal Assortativity of Teams Inside the Firm," PIER Working Paper Archive 20-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    7. Michèle Belot & Marco Francesconi, 2013. "Dating Preferences and Meeting Opportunities in Mate Choice Decisions," Journal of Human Resources, University of Wisconsin Press, vol. 48(2), pages 474-508.
    8. Renato Gomes & Alessandro Pavan, 2013. "Cross-Subsidization and Matching Design," Discussion Papers 1559, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Ran Abramitzky & Adeline Delavande & Luis Vasconcelos, 2011. "Marrying Up: The Role of Sex Ratio in Assortative Matching," American Economic Journal: Applied Economics, American Economic Association, vol. 3(3), pages 124-157, July.
    10. Davi B. Costa, 2021. "Benefits of marriage as a search strategy," Papers 2108.04885, arXiv.org, revised Aug 2021.
    11. Elizabeth M. Caucutt & Nezih Guner & John Knowles, 2001. "The Timing of Births: A Marriage Market Analysis," Penn CARESS Working Papers 49355d43c11f2314075e8b54e, Penn Economics Department.
    12. Chen, Frederick H., 2003. "A result on equilibrium matching with search frictions," Economics Letters, Elsevier, vol. 78(3), pages 317-321, March.
    13. McCann, Robert J. & Shi, Xianwen & Siow, Aloysius & Wolthoff, Ronald P., 2012. "Becker Meets Ricardo: Multisector Matching with Social and Cognitive Skills," IZA Discussion Papers 6533, Institute of Labor Economics (IZA).
    14. Belot, Michèle & Fidrmuc, Jan, 2010. "Anthropometry of love: Height and gender asymmetries in interethnic marriages," Economics & Human Biology, Elsevier, vol. 8(3), pages 361-372, December.
    15. Levin, Mark (Левин, Марк) & Matrosova, Ksenia (Матросова, Ксения), 2018. "Development and Research of Economic Behavior of Households in Changing Conditions [Разработка И Исследование Экономического Поведения Домохозяйств В Изменяющихся Условиях]," Working Papers 041825, Russian Presidential Academy of National Economy and Public Administration.
    16. Chris Bidner, 2014. "A spillover-based theory of credentialism," Canadian Journal of Economics, Canadian Economics Association, vol. 47(4), pages 1387-1425, November.
    17. Chakraborty, Archishman & Citanna, Alessandro, 2005. "Occupational choice, incentives and wealth distribution," Journal of Economic Theory, Elsevier, vol. 122(2), pages 206-224, June.
    18. Bjerk, David, 2009. "Beauty vs. earnings: Gender differences in earnings and priorities over spousal characteristics in a matching model," Journal of Economic Behavior & Organization, Elsevier, vol. 69(3), pages 248-259, March.
    19. Mario Vozar, 2010. "The Effect of Time in a Multi-Dimensional Marriage Market Model," CERGE-EI Working Papers wp417, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    20. Svarer, Michael, "undated". "Determinants of Divorce in Denmark," Economics Working Papers 2002-19, Department of Economics and Business Economics, Aarhus University.

    More about this item

    Keywords

    Matching; Mechanism design; Non-transferable Utility;
    All these keywords.

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:67:y:2019:i:3:d:10.1007_s00199-018-1127-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.